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arXiv · 1609.01978

Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes

Jose Carlos Diaz-Ramos·Miguel Dominguez-Vazquez·Cristina Vidal-Castiñeira
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Abstract

We give a geometric characterization of certain hypersurfaces of cohomogeneity one in the complex projective and hyperbolic planes. We also obtain some partial classifications of austere hypersurfaces and of Levi-flat hypersurfaces with constant mean curvature in these spaces.

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Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Cristina Vidal-Castiñeira. 2016-09-07. Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes. https://arxiv.org/abs/1609.01978

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